Mike Cheung
8-10 Feb 2023 (Day 2, Session 1)
Brown and Stayman (1992)
Premack and Hunter (1988)
Norton et al. (2013)
Murayama and Elliot (2012, Figure 1)
Hagger et al. (2022, Figure 1)
Isvoranu, Epskamp, and Cheung (2022, Figure 3)
Jak and Cheung (2020, Table 1)
Viswesvaran and Ones (1995) citations over time
Viswesvaran and Ones (1995) citations across journals
Jak and Cheung (2022, test statistics)
Jak and Cheung (2022, parameter estimates)
Jak and Cheung (2022, standard errors)
metaSEM package. We will illustrate them later.## Load the libraries
library(metaSEM)
library(symSEM)
## Specify the model
cfa <- "f =~ a*x1 + b*x2 + c*x3
f ~~ 1*f ## Fix the factor variance at 1 for identification
x1 ~~ e11*x1 ## Label the error variances
x2 ~~ e22*x2
x3 ~~ e33*x3"
## Plot the model
plot(cfa, color="yellow")## Convert it to RAM specification
## We will introduce the RAM specification in later.
RAM <- lavaan2RAM(cfa, obs.variables=c("x1", "x2", "x3"))
## Print the model-implied covariance matrix
impliedS(RAM, corr=FALSE)## $Sigma
## x1 x2 x3
## x1 "e11+a^2" "a*b" "a*c"
## x2 "b*a" "e22+b^2" "b*c"
## x3 "c*a" "c*b" "e33+c^2"
##
## $mu
## x1 x2 x3
## 1 0 0 0
##
## $corr
## [1] FALSE
## $Sigma
## x1 x2 x3
## x1 "1" "a*b" "a*c"
## x2 "b*a" "1" "b*c"
## x3 "c*a" "c*b" "1"
##
## $mu
## x1 x2 x3
## 1 0 0 0
##
## $corr
## [1] TRUE
Cheung, M. W.-L. (2021). Meta-analytic structural equation modeling. In Oxford Research Encyclopedia of Business and Management. Oxford University Press. https://doi.org/10.1093/acrefore/9780190224851.013.225↩︎
National Research Council (1992). Combining information: Statistical issues and opportunities for research. Washington, D.C.: National Academy Press.↩︎
Brown, S. P., & Stayman, D. M. (1992). Antecedents and consequences of attitude toward the ad: A meta-analysis. Journal of Consumer Research, 19, 34-51.↩︎
Premack, S. L., & Hunter, J. E. (1988). Individual unionization decisions. Psychological Bulletin, 103, 223-234.↩︎
Norton, S., Cosco, T., Doyle, F., Done, J., & Sacker, A. (2013). The Hospital Anxiety and Depression Scale: A meta confirmatory factor analysis. Journal of Psychosomatic Research, 74(1), 74-81.↩︎
Murayama, K., & Elliot, A. J. (2012). The competition-performance relation: A meta-analytic review and test of the opposing processes model of competition and performance. Psychological Bulletin, 138(6), 1035-1070. http://doi.org/10.1037/a0028324↩︎
Hagger, M. S., Cheung, M. W.-L., Ajzen, I., & Hamilton, K. (2022). Perceived behavioral control moderating effects in the theory of planned behavior: A meta-analysis. Health Psychology, 41(2), 155–167.↩︎
Epskamp, S., Borsboom, D., & Fried, E. I. (2018). Estimating psychological networks and their accuracy: A tutorial paper. Behavior Research Methods, 50(1), 195–212.↩︎
Epskamp, S., Isvoranu, A.-M., & Cheung, M. W.-L. (2022). Meta-analytic Gaussian network aggregation. Psychometrika, 87(1), 12–46.↩︎
Isvoranu, A.-M., Epskamp, S., & Cheung, M. W.-L. (2021). Network models of posttraumatic stress disorder: A meta-analysis. Journal of Abnormal Psychology, 130(8), 841–861.↩︎
Viswesvaran, C., & Ones, D. S. (1995). Theory testing: Combining psychometric meta-analysis and structural equations modeling. Personnel Psychology, 48(4), 865-885.↩︎
Becker, B. J. (1992). Using results from replicated studies to estimate linear models. Journal of Educational Statistics, 17(4), 341-362.↩︎
Cheung, M. W.-L. (2014). Fixed- and random-effects meta-analytic structural equation modeling: Examples and analyses in R. Behavior Research Methods, 46(1), 29-40. http://doi.org/10.3758/s13428-013-0361-y↩︎
Cheung, M. W.-L., & Chan, W. (2005). Meta-analytic structural equation modeling: A two-stage approach. Psychological Methods, 10(1), 40-64. http://doi.org/10.1037/1082-989X.10.1.40↩︎
Jak, S., & Cheung, M. W.-L. (2020). Meta-analytic structural equation modeling with moderating effects on SEM parameters. Psychological Methods, 25(4), 430–455. https://doi.org/10.1037/met0000245↩︎
Ke, Z., Zhang, Q., & Tong, X. (2019). Bayesian meta-analytic SEM: A one-stage approach to modeling between-studies heterogeneity in structural parameters. Structural Equation Modeling: A Multidisciplinary Journal, 26(3), 348–370. https://doi.org/10.1080/10705511.2018.1530059↩︎
Cudeck, R. (1989). Analysis of correlation matrices using covariance structure models. Psychological Bulletin, 105(2), 317-327.↩︎
Cudeck, R. (1989). Analysis of correlation matrices using covariance structure models. Psychological Bulletin, 105(2), 317–327. https://doi.org/10.1037/0033-2909.105.2.317↩︎
Jak, S., & Cheung, M. W.-L. (2020). Meta-analytic structural equation modeling with moderating effects on SEM parameters. Psychological Methods, 25(4), 430–455. https://doi.org/10.1037/met0000245↩︎
Jak, S., & Cheung, M. W. (2022, March 16). Can findings from meta-analytic structural equation modeling in management and organizational psychology be trusted?. https://psyarxiv.com/b3qvn.↩︎
Cheung, M. W.-L., & Chan, W. (2005). Meta-analytic structural equation modeling: A two-stage approach. Psychological Methods, 10(1), 40–64. https://doi.org/10.1037/1082-989X.10.1.40↩︎
Cheung, M. W.-L. (2014). Fixed- and random-effects meta-analytic structural equation modeling: Examples and analyses in R. Behavior Research Methods, 46(1), 29–40. https://doi.org/10.3758/s13428-013-0361-y↩︎
Joreskog, K. G., & Sorbom, D. (1996). LISREL 8: A user-s reference guide. Chicago, IL: Scientific Software International, Inc.↩︎
Muthen, B., Kaplan, D., & Hollis, M. (1987). On structural equation modeling with data that are not missing completely at random. Psychometrika, 52(3), 431-462. http://doi.org/10.1007/BF02294365↩︎
Cheung, M. W.-L., & Chan, W. (2009). A two-stage approach to synthesizing covariance matrices in meta-analytic structural equation modeling. Structural Equation Modeling: A Multidisciplinary Journal, 16(1), 28-53. http://doi.org/10.1080/10705510802561295↩︎
Bentler, P. M., & Savalei, V. (2010). Analysis of correlation structures: Current status and open problems. In S. Kolenikov, D. Steinley, & L. Thombs (Eds.), Statistics in the Social Sciences (pp. 1-36). New Jersey: John Wiley & Sons, Inc.↩︎